Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
720.a1 |
720a2 |
720.a |
720a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.190919584$ |
$1$ |
|
$13$ |
$128$ |
$0.012990$ |
$3721734/25$ |
$1.06284$ |
$3.95944$ |
$[0, 0, 0, -123, 522]$ |
\(y^2=x^3-123x+522\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(1, 20)]$ |
720.a2 |
720a1 |
720.a |
720a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.381839169$ |
$1$ |
|
$9$ |
$64$ |
$-0.333584$ |
$-108/5$ |
$1.29203$ |
$2.93406$ |
$[0, 0, 0, -3, 18]$ |
\(y^2=x^3-3x+18\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(1, 4)]$ |
720.b1 |
720f4 |
720.b |
720f |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$1.070665$ |
$57960603/31250$ |
$1.11205$ |
$5.48399$ |
$[0, 0, 0, -3483, 20682]$ |
\(y^2=x^3-3483x+20682\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.ca.1.5, $\ldots$ |
$[]$ |
720.b2 |
720f2 |
720.b |
720f |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.521359$ |
$8527173507/200$ |
$1.05154$ |
$5.24074$ |
$[0, 0, 0, -2043, -35542]$ |
\(y^2=x^3-2043x-35542\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.ca.1.13, $\ldots$ |
$[]$ |
720.b3 |
720f1 |
720.b |
720f |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.174785$ |
$-1860867/320$ |
$0.97305$ |
$3.99899$ |
$[0, 0, 0, -123, -598]$ |
\(y^2=x^3-123x-598\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.cd.1.1, $\ldots$ |
$[]$ |
720.b4 |
720f3 |
720.b |
720f |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.724092$ |
$804357/500$ |
$1.08207$ |
$4.83384$ |
$[0, 0, 0, 837, 2538]$ |
\(y^2=x^3+837x+2538\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.cd.1.5, $\ldots$ |
$[]$ |
720.c1 |
720h7 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{10} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.51 |
2B |
$480$ |
$768$ |
$13$ |
$5.201251375$ |
$1$ |
|
$3$ |
$2048$ |
$1.533323$ |
$1114544804970241/405$ |
$1.07354$ |
$7.53226$ |
$[0, 0, 0, -311043, -66769598]$ |
\(y^2=x^3-311043x-66769598\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[(767, 12078)]$ |
720.c2 |
720h5 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.56 |
2Cs |
$240$ |
$768$ |
$13$ |
$2.600625687$ |
$1$ |
|
$9$ |
$1024$ |
$1.186749$ |
$272223782641/164025$ |
$1.03897$ |
$6.26809$ |
$[0, 0, 0, -19443, -1042958]$ |
\(y^2=x^3-19443x-1042958\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.3, 16.96.0-8.k.1.2, $\ldots$ |
$[(-81, 22)]$ |
720.c3 |
720h8 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{12} \cdot 3^{22} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.67 |
2B |
$480$ |
$768$ |
$13$ |
$5.201251375$ |
$1$ |
|
$3$ |
$2048$ |
$1.533323$ |
$-147281603041/215233605$ |
$1.05949$ |
$6.36623$ |
$[0, 0, 0, -15843, -1441118]$ |
\(y^2=x^3-15843x-1441118\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.u.2, $\ldots$ |
$[(279, 3982)]$ |
720.c4 |
720h4 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.31 |
2B |
$480$ |
$768$ |
$13$ |
$1.300312843$ |
$1$ |
|
$5$ |
$512$ |
$0.840176$ |
$56667352321/15$ |
$1.03019$ |
$6.02955$ |
$[0, 0, 0, -11523, 476098]$ |
\(y^2=x^3-11523x+476098\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 16.48.0-16.g.1.16, $\ldots$ |
$[(63, 14)]$ |
720.c5 |
720h3 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.87 |
2Cs |
$240$ |
$768$ |
$13$ |
$1.300312843$ |
$1$ |
|
$13$ |
$512$ |
$0.840176$ |
$111284641/50625$ |
$1.02534$ |
$5.08220$ |
$[0, 0, 0, -1443, -9758]$ |
\(y^2=x^3-1443x-9758\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.3, $\ldots$ |
$[(-9, 50)]$ |
720.c6 |
720h2 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.33 |
2Cs |
$240$ |
$768$ |
$13$ |
$0.650156421$ |
$1$ |
|
$15$ |
$256$ |
$0.493602$ |
$13997521/225$ |
$0.96230$ |
$4.76708$ |
$[0, 0, 0, -723, 7378]$ |
\(y^2=x^3-723x+7378\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.1, 16.96.0-16.d.2.4, $\ldots$ |
$[(9, 40)]$ |
720.c7 |
720h1 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.77 |
2B |
$480$ |
$768$ |
$13$ |
$0.325078210$ |
$1$ |
|
$11$ |
$128$ |
$0.147029$ |
$-1/15$ |
$1.19808$ |
$3.81081$ |
$[0, 0, 0, -3, 322]$ |
\(y^2=x^3-3x+322\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 16.48.0-16.g.1.12, $\ldots$ |
$[(-1, 18)]$ |
720.c8 |
720h6 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.172 |
2B |
$480$ |
$768$ |
$13$ |
$2.600625687$ |
$1$ |
|
$5$ |
$1024$ |
$1.186749$ |
$4733169839/3515625$ |
$1.05585$ |
$5.65221$ |
$[0, 0, 0, 5037, -73262]$ |
\(y^2=x^3+5037x-73262\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.6, $\ldots$ |
$[(23, 234)]$ |
720.d1 |
720c5 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.191 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$1.029305$ |
$1770025017602/75$ |
$1.12837$ |
$6.44728$ |
$[0, 0, 0, -28803, -1881502]$ |
\(y^2=x^3-28803x-1881502\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 12.12.0-4.c.1.2, 16.48.0-16.f.1.5, $\ldots$ |
$[]$ |
720.d2 |
720c3 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.134 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.682732$ |
$868327204/5625$ |
$1.10029$ |
$5.18375$ |
$[0, 0, 0, -1803, -29302]$ |
\(y^2=x^3-1803x-29302\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.8, 12.24.0-4.b.1.3, 24.96.0-24.k.1.3, $\ldots$ |
$[]$ |
720.d3 |
720c6 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.222 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$1.029305$ |
$-27995042/1171875$ |
$1.07729$ |
$5.41990$ |
$[0, 0, 0, -723, -64078]$ |
\(y^2=x^3-723x-64078\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.4, 12.12.0-4.c.1.2, 24.96.0-24.bo.1.8, $\ldots$ |
$[]$ |
720.d4 |
720c2 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.73 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.336158$ |
$3631696/2025$ |
$1.02576$ |
$4.14060$ |
$[0, 0, 0, -183, 182]$ |
\(y^2=x^3-183x+182\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.7, 12.24.0-4.b.1.1, 20.24.0.c.1, $\ldots$ |
$[]$ |
720.d5 |
720c1 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.91 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$128$ |
$-0.010416$ |
$24918016/45$ |
$0.99237$ |
$4.01191$ |
$[0, 0, 0, -138, 623]$ |
\(y^2=x^3-138x+623\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
$[]$ |
720.d6 |
720c4 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{10} \cdot 3^{14} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.135 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.682732$ |
$54607676/32805$ |
$1.06524$ |
$4.76328$ |
$[0, 0, 0, 717, 1442]$ |
\(y^2=x^3+717x+1442\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0-8.ba.2.7, $\ldots$ |
$[]$ |
720.e1 |
720d3 |
720.e |
720d |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.347092$ |
$132304644/5$ |
$1.13632$ |
$4.89779$ |
$[0, 0, 0, -963, -11502]$ |
\(y^2=x^3-963x-11502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[]$ |
720.e2 |
720d2 |
720.e |
720d |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.000519$ |
$148176/25$ |
$1.09175$ |
$3.65437$ |
$[0, 0, 0, -63, -162]$ |
\(y^2=x^3-63x-162\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 20.24.0.b.1, $\ldots$ |
$[]$ |
720.e3 |
720d1 |
720.e |
720d |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.346055$ |
$55296/5$ |
$1.01898$ |
$3.08313$ |
$[0, 0, 0, -18, 27]$ |
\(y^2=x^3-18x+27\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
$[]$ |
720.e4 |
720d4 |
720.e |
720d |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.347092$ |
$237276/625$ |
$1.04671$ |
$4.12928$ |
$[0, 0, 0, 117, -918]$ |
\(y^2=x^3+117x-918\) |
2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 40.48.1.dk.1, 80.96.3.?, $\ldots$ |
$[]$ |
720.f1 |
720e3 |
720.f |
720e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{11} \cdot 3^{10} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1.497536285$ |
$1$ |
|
$7$ |
$512$ |
$0.618710$ |
$546718898/405$ |
$0.99169$ |
$5.21879$ |
$[0, 0, 0, -1947, -33046]$ |
\(y^2=x^3-1947x-33046\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 40.24.0-40.v.1.7, $\ldots$ |
$[(-25, 2)]$ |
720.f2 |
720e4 |
720.f |
720e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$0.374384071$ |
$1$ |
|
$19$ |
$512$ |
$0.618710$ |
$136835858/1875$ |
$0.97925$ |
$5.00826$ |
$[0, 0, 0, -1227, 16346]$ |
\(y^2=x^3-1227x+16346\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 40.24.0-40.bb.1.15, 120.48.0.? |
$[(25, 36)]$ |
720.f3 |
720e2 |
720.f |
720e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$0.748768142$ |
$1$ |
|
$15$ |
$256$ |
$0.272136$ |
$470596/225$ |
$1.13245$ |
$4.04072$ |
$[0, 0, 0, -147, -286]$ |
\(y^2=x^3-147x-286\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 40.24.0-40.a.1.6, 60.24.0-60.b.1.4, $\ldots$ |
$[(-7, 20)]$ |
720.f4 |
720e1 |
720.f |
720e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1.497536285$ |
$1$ |
|
$5$ |
$128$ |
$-0.074438$ |
$21296/15$ |
$0.85611$ |
$3.35952$ |
$[0, 0, 0, 33, -34]$ |
\(y^2=x^3+33x-34\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 30.6.0.a.1, 40.24.0-40.bb.1.7, $\ldots$ |
$[(5, 16)]$ |
720.g1 |
720g4 |
720.g |
720g |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.474792425$ |
$1$ |
|
$9$ |
$1152$ |
$1.070665$ |
$8527173507/200$ |
$1.05154$ |
$6.24263$ |
$[0, 0, 0, -18387, 959634]$ |
\(y^2=x^3-18387x+959634\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.ca.1.5, $\ldots$ |
$[(73, 80)]$ |
720.g2 |
720g3 |
720.g |
720g |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.949584851$ |
$1$ |
|
$7$ |
$576$ |
$0.724092$ |
$-1860867/320$ |
$0.97305$ |
$5.00087$ |
$[0, 0, 0, -1107, 16146]$ |
\(y^2=x^3-1107x+16146\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.cd.1.5, $\ldots$ |
$[(15, 54)]$ |
720.g3 |
720g2 |
720.g |
720g |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.158264141$ |
$1$ |
|
$15$ |
$384$ |
$0.521359$ |
$57960603/31250$ |
$1.11205$ |
$4.48210$ |
$[0, 0, 0, -387, -766]$ |
\(y^2=x^3-387x-766\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.ca.1.13, $\ldots$ |
$[(-7, 40)]$ |
720.g4 |
720g1 |
720.g |
720g |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.316528283$ |
$1$ |
|
$11$ |
$192$ |
$0.174785$ |
$804357/500$ |
$1.08207$ |
$3.83196$ |
$[0, 0, 0, 93, -94]$ |
\(y^2=x^3+93x-94\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.cd.1.1, $\ldots$ |
$[(7, 30)]$ |
720.h1 |
720i3 |
720.h |
720i |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$144$ |
$0.168662$ |
$488095744/125$ |
$1.07376$ |
$4.46408$ |
$[0, 0, 0, -372, -2761]$ |
\(y^2=x^3-372x-2761\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
720.h2 |
720i4 |
720.h |
720i |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$288$ |
$0.515236$ |
$-20720464/15625$ |
$0.95894$ |
$4.53208$ |
$[0, 0, 0, -327, -3454]$ |
\(y^2=x^3-327x-3454\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.d.1.3, $\ldots$ |
$[]$ |
720.h3 |
720i1 |
720.h |
720i |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$48$ |
$-0.380644$ |
$16384/5$ |
$0.95621$ |
$2.89825$ |
$[0, 0, 0, -12, 11]$ |
\(y^2=x^3-12x+11\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
720.h4 |
720i2 |
720.h |
720i |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$96$ |
$-0.034070$ |
$21296/25$ |
$0.83964$ |
$3.36380$ |
$[0, 0, 0, 33, 74]$ |
\(y^2=x^3+33x+74\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.d.1.9, $\ldots$ |
$[]$ |
720.i1 |
720b2 |
720.i |
720b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.562296$ |
$3721734/25$ |
$1.06284$ |
$4.96133$ |
$[0, 0, 0, -1107, -14094]$ |
\(y^2=x^3-1107x-14094\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
720.i2 |
720b1 |
720.i |
720b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.215723$ |
$-108/5$ |
$1.29203$ |
$3.93594$ |
$[0, 0, 0, -27, -486]$ |
\(y^2=x^3-27x-486\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
720.j1 |
720j7 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$1.806620$ |
$16778985534208729/81000$ |
$1.08181$ |
$7.94442$ |
$[0, 0, 0, -768027, -259067446]$ |
\(y^2=x^3-768027x-259067446\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
720.j2 |
720j8 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{12} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$1.806620$ |
$10316097499609/5859375000$ |
$1.13600$ |
$6.82056$ |
$[0, 0, 0, -65307, -874294]$ |
\(y^2=x^3-65307x-874294\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.3.8, $\ldots$ |
$[]$ |
720.j3 |
720j6 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$2304$ |
$1.460045$ |
$4102915888729/9000000$ |
$1.05221$ |
$6.68042$ |
$[0, 0, 0, -48027, -4043446]$ |
\(y^2=x^3-48027x-4043446\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.11, $\ldots$ |
$[]$ |
720.j4 |
720j5 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$1.257313$ |
$2656166199049/33750$ |
$1.05017$ |
$6.61433$ |
$[0, 0, 0, -41547, 3259514]$ |
\(y^2=x^3-41547x+3259514\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.4.8, $\ldots$ |
$[]$ |
720.j5 |
720j4 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{13} \cdot 3^{18} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$1.257313$ |
$35578826569/5314410$ |
$1.03393$ |
$5.95880$ |
$[0, 0, 0, -9867, -324934]$ |
\(y^2=x^3-9867x-324934\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
720.j6 |
720j2 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.910740$ |
$702595369/72900$ |
$1.00457$ |
$5.36227$ |
$[0, 0, 0, -2667, 48026]$ |
\(y^2=x^3-2667x+48026\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.5, $\ldots$ |
$[]$ |
720.j7 |
720j3 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{24} \cdot 3^{7} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$1.113472$ |
$-273359449/1536000$ |
$1.04920$ |
$5.57919$ |
$[0, 0, 0, -1947, -108214]$ |
\(y^2=x^3-1947x-108214\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.4, $\ldots$ |
$[]$ |
720.j8 |
720j1 |
720.j |
720j |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.564166$ |
$357911/2160$ |
$0.99689$ |
$4.55085$ |
$[0, 0, 0, 213, 3674]$ |
\(y^2=x^3+213x+3674\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.4, $\ldots$ |
$[]$ |